C₅×C₁₃×D₂₀₁ #39908400

order	26130
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₁₃×D₂₀₁
unambiguous semidirect product	C₃⋊(C₅×C₁₃×D₆₇)
unambiguous semidirect product	C₆₇⋊(C₅×D₃×C₁₃)

	subgroup	G/H
center, hypercenter	C₅×C₁₃	D₂₀₁
commutator, cosocle, hypocenter	C₃×C₆₇	C₂×C₅×C₁₃
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₃×C₆₇	C₂
LCS	G ▷ C₃×C₆₇
UCS	C₁ ◁ C₅×C₁₃

32 conjugacy classes of subgroups.

μ_t(G) = 13065

6630 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26130, 14);